A331370 Decimal expansion of Sum_{(p1, p2) is twin prime pair} log(p2 / p1).

1, 8, 7, 2, 1, 7, 8, 8

Offset: 1

Author

Dimitris Valianatos, May 03 2020

Keywords

• nonn
• cons
• more

Comments

This constant is the difference between Brun's constant and the A331369 constant.

This sum converges because log(p_(k+1)/p_k) < 1/p_k + 1/p_(k+1) for every k >= 1 and (p_k, p_(k+1)) twin prime pair.

Examples

			1.8721788...
		

Crossrefs

Cf. A077800, A065421, A331369, A001359, A006512.

Formula

Equals A065421 - A331369.